Numerical error of total energy. Dependence on timestep

Computer Physics Communications

Volumn 102, Issue 1-3, 1997, Pages 59-67

  Shida, Koichiro ^a   Suzuki, Ryotaro ^b   Kawai, Toshio ^b  

^a TOKYO CITY UNIVERSITY   (Japan)

^b KEIO UNIVERSITY   (Japan)

Author keywords

Conservation of total energy; Euler scheme; Numerical error; Numerical integration; Runge Kutta scheme; Timestep

Indexed keywords

CHAOS THEORY; ERROR ANALYSIS; INTEGRATION; NUMERICAL METHODS;

EULER METHOD; RUNGE KUTTA METHOD;

NATURAL SCIENCES COMPUTING;

EID: 0031547724     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(97)00007-6     Document Type: Article

References (3)

1. C.W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations (Prentice Hall, New Jersey, 1971).
2. E. Hairer, S.P. Nørsett and G. Wanner, Solving Ordinary Differential Equations, 2nd ed. (Springer, Berlin, 1993).
3. J.M. Sanz-Serna and M.P. Calvo, Numerical Hamiltonian Problems (Chapman and Hall, London, 1994).